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135513414428 = 227531133592251
BaseRepresentation
bin111111000110100111…
…0101001101100011100
3110221210011101201101012
41332031032221230130
54210012413230203
6142130510434352
712535102005620
oct1761516515434
9427704351335
10135513414428
115251a875a87
122231b2029b8
13ca18204232
1467b7815180
1537d1dd2bd8
hex1f8d3a9b1c

135513414428 has 96 divisors (see below), whose sum is σ = 279484369920. Its totient is φ = 56294784000.

The previous prime is 135513414427. The next prime is 135513414437. The reversal of 135513414428 is 824414315531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135513414427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60200303 + ... + 60202553.

It is an arithmetic number, because the mean of its divisors is an integer number (2911295520).

Almost surely, 2135513414428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135513414428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139742184960).

135513414428 is an abundant number, since it is smaller than the sum of its proper divisors (143970955492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135513414428 is a wasteful number, since it uses less digits than its factorization.

135513414428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2785 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

Adding to 135513414428 its reverse (824414315531), we get a palindrome (959927729959).

The spelling of 135513414428 in words is "one hundred thirty-five billion, five hundred thirteen million, four hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 53 106 113 212 226 359 371 452 718 742 791 1436 1484 1582 2251 2513 3164 4502 5026 5989 9004 10052 11978 15757 19027 23956 31514 38054 40567 41923 63028 76108 81134 83846 119303 133189 162268 167692 238606 254363 266378 283969 477212 508726 532756 567938 808109 835121 1017452 1135876 1616218 1670242 1780541 2150051 3232436 3340484 3561082 4300102 5656763 7122164 8600204 11313526 13481239 15050357 22627052 26962478 30100714 42829777 53924956 60201428 85659554 91316317 94368673 171319108 182632634 188737346 299808439 365265268 377474692 599616878 639214219 1199233756 1278428438 2556856876 4839764801 9679529602 19359059204 33878353607 67756707214 135513414428